Answer:
The equation of plane is
Step-by-step explanation:
We have to find the equation of plane passing through the point (0,-1,1) and orthogonal to the planes
Thus, we can write:
We will evaluate:
![n = n_1\times n_2\\\\n = \left[\begin{array}{ccc}i&j&k\\3&4&-3\\-3&2&4\end{array}\right] \\\\n = i(16 + 6)-j(12-9) +k(6+12)\\n = 22i-3j+18k\\n =](https://tex.z-dn.net/?f=n%20%3D%20n_1%5Ctimes%20n_2%5C%5C%5C%5Cn%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C3%264%26-3%5C%5C-3%262%264%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5Cn%20%3D%20i%2816%20%2B%206%29-j%2812-9%29%20%2Bk%286%2B12%29%5C%5Cn%20%3D%2022i-3j%2B18k%5C%5Cn%20%3D%20%3C22%2C-3%2C18%3E)
The required plane passes through the point (0,-1,1)
Thus, the equation of plane is
is the required equation of the plane.
Answer:
21°
Step-by-step explanation:
Since these are both equivalent right triangles, ∡RQY and ∡PQY are the same. So set them equal to each other.
16x-27=5x+6
x=3
Next plug x into ∡RQY
16(3)-27=21°
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
about 28.6%
Step-by-step explanation:
The conditional probability equation can be used:
P(arrested | not in jail) = P(arrested & not in jail)/P(not in jail)
= 0.24/0.84 = 2/7 ≈ 28.6%
